Representation in terms of p-analytic functions of the general solution of equations of the theory of elasticity of a transversely isotropic body

DOI10.1016/0021-8928(84)90108-4zbMath0566.73009OpenAlexW2089045715MaRDI QIDQ1059415

O. G. Goman

Publication date: 1985

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(84)90108-4

zbMATH Keywords

general solutiontransversely isotropic bodyp-analytic functionsanalogy to Kolosov-Muskhilishvili formulaisothermal transport mediumnon- axisymmetric stress state

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Linear elasticity with initial stresses (74B10) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Related Items

Hilbert formulas for $r$-analytic functions and the Stokes flow about a biconvex lens ⋮ On a transplant operator and explicit construction of Cauchy-type integral representations for \(p\)-analytic functions ⋮ On the relationship between \(p\)-analytic functions and Schrödinger equation

Cites Work

• On the Kolosov-Muskhelishvili analog for the three-dimensional state of stress
• Unnamed Item
• Unnamed Item